But there is also an other direction: would it be possible to use a Homekit app (like Apple’s Home, or Elgato’s Eve app) to access devices that are (IR) controlled by Neeo? As an example, I am thinking about IR-controlled audio/video equipment. It would be nice if a single Homekit scene could dim the lights, switch on the TV, select Apple TV as input, and set the audio system to play the audio from the TV.

Simon Böll if you use a homeautomation system that can be used with HomeKit you can send from the homeautomation system the NEEO brain via API a trigger. This way you can use HomeKit with NEEO. I use IP-Symcon to use NEEO with HomeKit (Siri), GoogleHone and Alexa.